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Finding the Fourth Proportional to 135,877.38, 203,750.46 and 56,970.42

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Solution

The fourth proportional to 135,877.38, 203,750.46 and 56,970.42 is: 85,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,877.38 : 203,750.46 = 56,970.42 : x
  2. Step 2: Convert to fraction form
    135,877.38/203,750.46 = 56,970.42/x
  3. Step 3: Cross multiply
    135,877.38x = 203,750.46 × 56,970.42
  4. Step 4: Simplify right side
    135,877.38x = 11,607,749,281.39
  5. Step 5: Solve for x
    x = 11,607,749,281.39/135,877.38
  6. Step 6: Final answer
    x = 85,428.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.